Dilation Page 9: Polygon Scaling and Intersection Exploration

①This example demonstrates a dilation (scaling) transformation applied to a polygon in GeoGebra, with intersection points used to observe relationships between the original and transformed figures. ②Core mathematical concepts include homothety (dilation) in geometric transformations, coordinate changes of polygon vertices, and the geometric meaning of intersections, alongside statistical ideas such as expected value, arithmetic mean, variance, and percentages, potentially linking geometry with data analysis. ③Construction highlights: from the summary, the Polygon command creates polygon poly1 with vertices A, B, C, the Intersect command yields point D, and sides a, c, b are defined, forming an interactive scaling model. ④Suitable for middle or high school geometry lessons or math lab activities, helping students intuitively understand properties of dilation and relationships among geometric objects, and can also support integrated explorations combining statistics and geometry.